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We study the implementation of a weak multiple delayed feedback for controlling coherence of chaotic oscillations. The specific system we treat is the Lorenz system with classical set of parameters. There are two reasons behind the interest…

统计力学 · 物理学 2009-12-03 Denis S. Goldobin , Elizaveta V. Shklyaeva

The control of chaotic systems implies inducing an unpredictable system to follow a desired trajectory using the smallest "force". In low-dimensional continuous systems, one method is that of reconstructing the tangent space, so that the…

元胞自动机与格子气 · 物理学 2009-02-03 Franco Bagnoli , Raul Rechtman

Synchronization transitions are investigated in coupled chaotic maps. Depending on the relative weight of linear versus nonlinear instability mechanisms associated to the single map two different scenarios for the transition may occur. When…

混沌动力学 · 物理学 2009-11-11 Massimo Cencini , Alessandro Torcini

We examine the use of synchronization as a mechanism for extracting parameter and state information from experimental systems. We focus on important aspects of this problem that have received little attention previously, and we explore them…

In this paper, a new control scheme, called as additive-decomposition-based tracking control, is proposed to solve the output feedback tracking problem for a class of systems with measurable nonlinearities and unknown disturbances. By the…

适应与自组织系统 · 物理学 2020-03-10 Quan Quan , Kai-Yuan Cai , Hai Lin

Robust global stabilization of nonlinear systems by observer-based feedback controllers is a challenging task. This article investigates the problem of designing observer-based stabilizing controllers for incrementally quadratic nonlinear…

最优化与控制 · 数学 2020-07-17 Xiangru Xu , Behcet Acikmese , Martin J. Corless

This paper introduces a continuous-time constrained nonlinear control scheme which implements a model predictive control strategy as a continuous-time dynamic system. The approach is based on the idea that the solution of the optimal…

系统与控制 · 计算机科学 2017-09-20 Marco M. Nicotra , Dominic Liao-McPherson , Ilya V. Kolmanovsky

In this paper a proposal is made of an adaptive coupling function for achieving synchronization between two lasers subject to optical feedback.Such a control scheme requires knowledge of the systems' parameters. We demonstate that when…

混沌动力学 · 物理学 2007-05-23 E. M. Shahverdiev , K. A. Shore

Nonlinear control-affine systems with time-varying vector fields are considered in the paper. We propose a unified control design scheme with oscillating inputs for solving the trajectory tracking and stabilization problems. This…

最优化与控制 · 数学 2023-10-31 Victoria Grushkovskaya , Alexander Zuyev

The synchronization of coupled chaotic systems represents a fundamental example of self organization and collective behavior. This well-studied phenomenon is classically characterized in terms of macroscopic parameters, such as Lyapunov…

This paper concerns the small-time stabilization of some classes of mechanical systems which are not stabilizable by means of at least continuous state feedback laws. This is the case of nonholonomic mechanical systems, an example being the…

最优化与控制 · 数学 2019-05-28 Brigitte d'Andréa-Novel , Jean-Michel Coron , Wilfrid Perruquetti

We study stability of multivariable control-affine nonlinear systems under sparsification of feedback controllers. Sparsification in our context refers to the scheduling of the individual control inputs one at a time in rapid periodic…

最优化与控制 · 数学 2020-09-04 Chinmay Maheshwari , Sukumar Srikant , Debasish Chatterjee

In this paper, a numerical study on the complete synchronization phenomenon exhibited by coupled forced negative conductance circuits is presented. The nonlinear system exhibiting two types of chaotic attractors is studied for complete…

混沌动力学 · 物理学 2017-02-27 G. Sivaganesh

Networks of coupled dynamical systems provide a powerful way to model systems with enormously complex dynamics, such as the human brain. Control of synchronization in such networked systems has far reaching applications in many domains,…

适应与自组织系统 · 物理学 2018-03-21 Julien Gout , Markus Quade , Kamran Shafi , Robert K. Niven , Markus Abel

In the present work, we consider nonlinear control systems for which there exist structural obstacles to the design of classical continuous backstepping feedback laws. We conceive feedback laws such that the origin of the closed-loop system…

最优化与控制 · 数学 2015-08-12 Humberto Stein Shiromoto , Vincent Andrieu , Christophe Prieur

Three state-space based methods were tested in relation to the ability to detect unidirectional coupling and synchronization of interconnected dynamical systems. The first method, based on measure named M, was introduced by Andrzejak et al.…

混沌动力学 · 物理学 2016-12-13 Anna Krakovská , Jozef Jakubík , Hana Budáčová , Mária Holecyová

In this article, the observer-based coordinated tracking control problem for a class of nonlinear multi-agent systems(MASs) with intermittent communication and information constraints is studied under dynamic switching topology. First, a…

系统与控制 · 电气工程与系统科学 2022-06-30 Yuhang Zhang , Yulian Jiang , Shenquan Wang

A wide range of multi-agent coordination problems including reference tracking and disturbance rejection requirements can be formulated as a cooperative output regulation problem. The general framework captures typical problems such as…

系统与控制 · 计算机科学 2014-06-04 Georg Seyboth , Wei Ren , Frank Allgöwer

We show that two initially weakly coupled chaotic systems can achieve self-organized synchronization by adaptively reducing their speed and/or enhancing the coupling strength. Explicit adaptive algorithms for speed-reduction and…

统计力学 · 物理学 2009-11-07 Xiao Fan Wang

We describe adaptive control algorithms whereby a chaotic dynamical system can be steered to a target state with desired characteristics. A specific implementation considered has the objective of directing the system to a state which is…

chao-dyn · 物理学 2009-10-31 Ramakrishna Ramaswamy , Sudeshna Sinha , Neelima Gupte